### Hypothesis Testing Using Normal Distribution**Current Attempt in Progress**Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5% significance level.#### Problem Statement:Test \( H_0 : p = 0.5 \) vs \( H_a : p > 0.5 \) using the sample results \( \hat{p} = 0.60 \) with \( n = 75 \).### Instructions:1. **Calculate the Test Statistic:** - Use the formula for the test statistic for proportions: \[ z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0 (1 - p_0)}{n}}} \] where \( \hat{p} \) is the sample proportion, \( p_0 \) is the hypothesized population proportion, and \( n \) is the sample size.2. **Calculate the p-value:** - Use the standard normal (Z) table to find the p-value corresponding to the calculated test statistic. - Ensure to round your answer for the test statistic to two decimal places and the p-value to three decimal places.3. **State the Conclusion:** - Based on the p-value, conclude whether to reject the null hypothesis \( H_0 \) or fail to reject the null hypothesis. Use a significance level of \( \alpha = 0.05 \).### Example Inputs:- test statistic: [Input box]- p-value: [Input box]- Conclusion: [Dropdown menu - Options for decision] - \( H_0 \) (Fail to reject the null hypothesis) - \( H_a \) (Reject the null hypothesis)### Action:- **Save for Later:** [Button to save progress]- **Submit Answer:** [Button to submit the answer]Attempts: 0 of 1 used*Note: This exercise helps in understanding the process of hypothesis testing and applying the normal distribution to test population proportions.*

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Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5 % significance level. Test Ho: p = 0.5 vs Ha: p > 0.5 using the sample results p 0.60 with n = 75 Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places. test statistic = p-value =i Conclusion: v Ho- Attempts: 0 of 1 used Submit Answer Save for Later

Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5 % significance level. Test Ho: p = 0.5 vs Ha: p > 0.5 using the sample results p 0.60 with n = 75 Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places. test statistic = p-value =i Conclusion: v Ho- Attempts: 0 of 1 used Submit Answer Save for Later

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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